Question

Solve the System of Equations

Answer 1

x = -4

y = 6

Explanation:

`y = (-3)/(4)x+3----(i)\\\\\\y = (-1)/(2)x+4-----(ii)\\\\\\Substitute \ y = (-3)/(4)x+3 \ in \ equation \ (ii)\\\\`

`(-3)/(4)x+3=(-1)/(2)x+4\\\\\\(-3)/(4)x+(1)/(2)x +3 = 4\\\\\\(-3)/(4)x+(1*2)/(2*2)x+3=4\\\\\\(-3)/(4)x+(2)/(4)x=4-3\\\\\\(-1)/(4)x=1\\\\\\x=1*(4)/(-1)\\\\x=-4`

`Substitute \ x = -4 \ in \ equation (i)\\\\y=(-3)/(4)*(-4)+3\\\\\\y=3+3\\\\y=6`